Listmania!
Minimalism that's actually Beautiful
By an Amazon.com customer
Let the Power FallLet the Power Fall by Robert Fripp
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Slowly developing progressions of guitar loops
A Blessing of Tears: 1995 Soundscapes, Vol. 2A Blessing of Tears: 1995 Soundscapes, Vol. 2 by Robert Fripp
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More blended, airy, and elegaic than Let the Power Fall
Music for 18 MusiciansMusic for 18 Musicians
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Reich's famous minimalist montage
Sextet/Six MarimbasSextet/Six Marimbas
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Marimbas are perhaps the best medium for Reich's work
La Koro SutroLa Koro Sutro
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Harrison's best work: Listen to the Chaconne, for example
Music Of Lou HarrisonMusic Of Lou Harrison
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The quartet by Kronos is sublime
Kronos Quartet Performs Philip GlassKronos Quartet Performs Philip Glass
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Classic Glass minimalism. If you're looking for a compilation, though, try Gidon Kremer's "Silencio" which mixes Glass and Part.
Early Music (Lachrymae Antiquae)Early Music (Lachrymae Antiquae)
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Hildegard von Bingen comfortably next to Moondog
Solo PianoSolo Piano
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Glass elegantly by himself. Also consider trying the mixed-bag of Koyaanisqatsi
ÅÅ by Knut Hamre & Steve Tibbetts
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Rare viola-like instrument; gorgeous
Pärt: Tabula Rasa; Fratres; Symphony No. 3Pärt: Tabula Rasa; Fratres; Symphony No. 3
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Tabula Rasa and Fratres take minimalism to new heights
Henryk Gorecki: Symphony 3 "Sorrowful Songs"Henryk Gorecki: Symphony 3 "Sorrowful Songs"
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The overrated famous one, but it's still good
LushlifeLushlife by Bowery Electric
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Mesmerizing and cool
TortoiseTortoise by Tortoise
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Not strictly minimalist, but Tortoise's improv's have sympathy
Discreet MusicDiscreet Music by Brian Eno
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The pioneering mathematical variations on Pachelbel canon are engrossing
ChoCho by Choying Drolma & Steve Tibbetts
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Beautiful variations of one Tibetan chant
Live at NewportLive at Newport by John Lee Hooker
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Miminalist blues: the early 60's Hooker was almost a ccapella (always look for Vanguard recordings)
Alina - Arvo PärtAlina - Arvo Pärt by Vladimir Spivakov
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Quintessential minimalist piano. The same few notes repeated at slow intervals in slightly different ways. Gorgeous and mesmerizing.
He Has Left Us Alone But Shafts of Light Sometimes Grace the Corners of Our RoomsHe Has Left Us Alone But Shafts of Light Sometimes Grace the Corners of Our Rooms by A Silver Mt. Zion
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Quasi-minimalist contemporary post-orchestral post-rock
Sa GoloSa Golo by Baboucar Traore
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Awe-inspiring, minimalistic Mali bluesman
360 Business/360 Bypass360 Business/360 Bypass by Pan American
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Terrific! More minimalist than HiM, less jazzy and more alternative ambient
Directions in MusicDirections in Music by Bundy K. Brown
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Tortoise side-project post-bop post-rock mathematical jazz has minimalist tendencies: beautiful and engaging
Aerial MAerial M by Aerial M
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Either this or "post global music" is Pajo's (another Tortoise alum) ambient guitar minimalism
Ambient 4: On LandAmbient 4: On Land by Brian Eno
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Overlooked genius Eno ambient: for nighttime, much of this is virtual silence with distant crickets
BarakaBaraka
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A modern-day Koyaanisqatsi, this movie contains a more Lisa Gerrard oriented soundtrack rather than Glass's famous minimalist one, but it's still minimalist cinema